Quant Quiz- Simplification Set- 5

1. 572 ÷ 26 x 12 – 200 = 2^? .
A. 5
B. 3
C. 6
D. 7
E. None of these
2. 43931.03 ÷ 2011.02 x 401.04 = ?
A. 7500
B. 8300
C. 8800
D. 8850
E. None of these

3. [(3√8 + √8) x (8√8 + 7√8)] – 98 = ?
A. 352
B. 382
C. 362
D. 372
E. None of these

4. (23.1)^2 + (48.6)^2 – (39.8)^2 = ? + 1147.69
A. 185.84
B. 175.84
C. 135.84
D. 163.84
E. None of these

5. 3463 × 295 – 18611 = ? + 5883
A. 997071
B. 997091
C. 999090
D. 997090
E. None of these

6. √7378 x √1330 ÷ √660 = ?
A. 130
B. 120
C. 160
D. 170
E. None of these

7. 6999 ÷ 70.005 x 94.998 = ? x 19.999
A. 475
B. 380
C. 640
D. 720
E. None of these

8. 89.988% of 699.9 + 50.002% of 999.99 – 170.015 = ?
A. 950
B. 930
C. 960
D. 970
E. None of these

9. √(72 x 24 x 2 -(11)³ + 3) = ?
A. 52
B. 32
C. 62
D. 72
E. None of these

10. 65% of √3136 x 5 = ? + 154
A. 56
B. 28
C. 35
D. 32
E. None of these

Answer
1- C
Explanation :
572 ÷ 26 = 22
22 x 12 = 264
264 – 200 = 64 = 2^6

2. C.
Explanation :
(44000 ÷ 2000) x 400 = 8800

3. B.
Explanation :
[√8(3 + 1) x √8(8 + 7)] – 98
[4√8 x 15√8] – 98
480 – 98 = 382

4. D.
Explanation :
533.61 + 2361.96 – 1584.04 = ? + 1147.69
1311.53 – 1147.69 = 163.84

5. B.
Explanation :
3463 × 295 = 1021585
1021585 – (18611 + 5883) = 997091

6. B.
Explanation :
√7378 ≈ 86; √1330 ≈ 36; √660 ≈ 26
86 x 36 ÷ 26

7. A.
Explanation :
7000 ÷ 70 x 95 = ? x 20 ≈ 475

8. C.
Explanation :
≈ (700 * (90/100) + 1000 * (50/100)) – 170
≈ 630 + 500 – 170 ≈ 960

9. B
Explanation :
√(2352 – 1331 + 3) = √1024 =32

10. B.
Explanation :
(65/100)*56*5 = ? + 154
182 – 154 = 28
1. 572 ÷ 26 x 12 – 200 = 2^? .
A. 5
B. 3
C. 6
D. 7
E. None of these
2. 43931.03 ÷ 2011.02 x 401.04 = ?
A. 7500
B. 8300
C. 8800
D. 8850
E. None of these

3. [(3√8 + √8) x (8√8 + 7√8)] – 98 = ?
A. 352
B. 382
C. 362
D. 372
E. None of these

4. (23.1)^2 + (48.6)^2 – (39.8)^2 = ? + 1147.69
A. 185.84
B. 175.84
C. 135.84
D. 163.84
E. None of these

5. 3463 × 295 – 18611 = ? + 5883
A. 997071
B. 997091
C. 999090
D. 997090
E. None of these

6. √7378 x √1330 ÷ √660 = ?
A. 130
B. 120
C. 160
D. 170
E. None of these

7. 6999 ÷ 70.005 x 94.998 = ? x 19.999
A. 475
B. 380
C. 640
D. 720
E. None of these

8. 89.988% of 699.9 + 50.002% of 999.99 – 170.015 = ?
A. 950
B. 930
C. 960
D. 970
E. None of these

9. √(72 x 24 x 2 -(11)³ + 3) = ?
A. 52
B. 32
C. 62
D. 72
E. None of these

10. 65% of √3136 x 5 = ? + 154
A. 56
B. 28
C. 35
D. 32
E. None of these

Answer
1- C
Explanation :
572 ÷ 26 = 22
22 x 12 = 264
264 – 200 = 64 = 2^6

2. C.
Explanation :
(44000 ÷ 2000) x 400 = 8800

3. B.
Explanation :
[√8(3 + 1) x √8(8 + 7)] – 98
[4√8 x 15√8] – 98
480 – 98 = 382

4. D.
Explanation :
533.61 + 2361.96 – 1584.04 = ? + 1147.69
1311.53 – 1147.69 = 163.84

5. B.
Explanation :
3463 × 295 = 1021585
1021585 – (18611 + 5883) = 997091

6. B.
Explanation :
√7378 ≈ 86; √1330 ≈ 36; √660 ≈ 26
86 x 36 ÷ 26

7. A.
Explanation :
7000 ÷ 70 x 95 = ? x 20 ≈ 475

8. C.
Explanation :
≈ (700 * (90/100) + 1000 * (50/100)) – 170
≈ 630 + 500 – 170 ≈ 960

9. B
Explanation :
√(2352 – 1331 + 3) = √1024 =32

10. B.
Explanation :
(65/100)*56*5 = ? + 154
182 – 154 = 28